We carry out simulation studies comparing SAID with the competitors BKMR [1]}, MixSelect [2]}, HierNet [3]}, Family [4]}, PIE [5]}, and RAMP [6]}. We generate data according to:
\(y_i = H({\bf x}_i) + \epsilon _i,\quad \epsilon _i \sim N(0, \sigma _0^2),\) 
